Add Math : Function

Hi guys, why don't you try all of the following. Email me your answer or post your comment.

Answer all of the following.

1. Given that f and g are functions given by the following

f : x-->x², where x is real number
g: x -->2x, where x is real number

Find

(a) the inverse of f, state its range and domain
(b) the inverse of g, state its range and domain.
(c) composite function ff, gg, fg, gf

2. Given that a function f is defined by f: x --> x²+1. Find

(a) f ^-1
(b) ff
(c) ff ^-1
(d) f ^-1f

3. Show that the function f(x)=x ² + 2x+5 is always positive.

4. Show that the function f(x) = x ² -2x+5 has no real roots.


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